unique clues

This is a Friday tapa puzzle, however, some of the clues have been omitted and replaced by asterisks. Every asterisk must be replaced by a positive integer (which consist of the set {1,2,3…}, but not 0) of positive integers, such that every possible clue appears at most once in the grid. So for example, there cannot be two “1 3″ clues. I didn’t want to actually put asterisks in all the squares though, in case you want to write notes in that square, so I made two versions as a solution to this. Both are the same puzzle, just different presentations.

What? 5 consecutive puzzles actually posted on the correct days without any broken puzzles? It’s been a while since the last time that happened. I guess it’s because I just like this variation a lot.

This is a Thursday pentopia puzzle. To solve it, first you must mark some (at least one) of the four directions of each cross so that no two clues are the same. Then solve the resulting pentopia. An example is given below, with tetrominos instead of pentominos.

This is a Monday tapa puzzle, however, some of the numbers have been omitted and replaced by question marks. Every question mark must be replaced by a positive integer (which consist of the set {1,2,3…}, but not 0), such that every possible clue appears at most once in the grid. So for example, there cannot be two “1 3″ clues.

This puzzle has got some really nice symmetry, and interesting logic too. I really like how it worked out. I have one last unique clues tapa coming on Friday, too.
Lastly P.I.HUNT 1 is in 24 days. Last year, from P.I.HUNT 0, the beta test, I learned that I have to make puzzles quite a bit easier, as people familiar with logic puzzles do not necessarily do hunt-style puzzles. So this year, half of the puzzles will be introductory, for people who haven’t seen hunt-style puzzles before, and half of them will be more difficult, so that you can play along no matter your prior skill level.

This is a Tuesday yajilin puzzle. To solve it, first you must place apositive integer to the left of each cross and mark one of the four directions of the cross so that no two clues are the same. (e.g. You may have a “1←” clue and a “1↑” clue, but you may not have two “1↑” clues). Then solve the resulting yajilin.

This puzzle may be easier than yesterday’s, but I felt that I should start with a tapa, which has had this variation before. Yajilin is somewhat different than Tapa however, in the sense that even when the solution is known, there are still multiple possibilities for a clue in a given position. Therefore, I will set the standard that only the solution to the Yajilin must be uniquely defined, not necessarily the clues themselves.

This is a Monday tapa puzzle, however, some of the numbers have been omitted and replaced by question marks. Every question mark must be replaced by a positive integer, such that every possible clue appears at most once in the grid. So for example, there cannot be two “1 3” clues.

This is a very interesting variation, which was made by Tapio Saarinen on GMPuzzles, but only one puzzle of this type ever was shown, so I think this week should be interesting.

It’s also worth reiterating that zero is not a positive integer.

P.I.HUNT 4March 14th, 2018

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Hi!
This blog ideally has 5 puzzles which all belong to some theme, every other week, although, this won't always be true. The first puzzles I post each week are called Monday and they go to Friday, regardless of the day I actually post them. The day ratings also reflect the puzzles' difficulties. The first block of text in each post will be the only necessary information to solve the puzzle, just like the first block of text of this read-me is the only necessary information to use this blog, so feel free to skip the rest of my posts/read-me if you want to.

So, about me: I am a student from USA, and I've liked making and solving puzzles for the past 3 or 4 years. I also like math a ton. Other interests of mine are linguistics and puns! Okay, that's enough for now.